What is the Greatest Common Factor of 44772 and 44784?

Greatest common factor (GCF) of 44772 and 44784 is 12.

GCF(44772,44784) = 12

We will now calculate the prime factors of 44772 and 44784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44772 and 44784.

How to find the GCF of 44772 and 44784?

We will first find the prime factorization of 44772 and 44784. After we will calculate the factors of 44772 and 44784 and find the biggest common factor number .

Step-1: Prime Factorization of 44772

Prime factors of 44772 are 2, 3, 7, 13, 41. Prime factorization of 44772 in exponential form is:

44772 = 2² × 3¹ × 7¹ × 13¹ × 41¹

Step-2: Prime Factorization of 44784

Prime factors of 44784 are 2, 3, 311. Prime factorization of 44784 in exponential form is:

44784 = 2⁴ × 3² × 311¹

Step-3: Factors of 44772

List of positive integer factors of 44772 that divides 44772 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 41, 42, 52, 78, 82, 84, 91, 123, 156, 164, 182, 246, 273, 287, 364, 492, 533, 546, 574, 861, 1066, 1092, 1148, 1599, 1722, 2132, 3198, 3444, 3731, 6396, 7462, 11193, 14924, 22386

Step-4: Factors of 44784

List of positive integer factors of 44784 that divides 44772 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 311, 622, 933, 1244, 1866, 2488, 2799, 3732, 4976, 5598, 7464, 11196, 14928, 22392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44772 and 44784. The biggest common factor number is the GCF number.
So the greatest common factor 44772 and 44784 is 12.

Also check out the Least Common Multiple of 44772 and 44784